Artículo
Pears Stefano, Q.; Rebón, L.; Ledesma, S.; Iemmi, C. "Determination of any pure spatial qudits from a minimum number of measurements by phase-stepping interferometry" (2017) Physical Review A. 96(6)
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Abstract:
We present a proof-of-principle demonstration of a method to characterize any pure spatial qudit of arbitrary dimension d, which is based on the classic phase-shift interferometry technique. In the proposed scheme a total of only 4d measurement outcomes are needed, implying a significant reduction with respect to the standard schemes for quantum-state tomography which require on the order of d2. By using this technique, we have experimentally reconstructed a large number of states ranging from d=2 up to 14 with mean fidelity values higher than 0.97. For that purpose the qudits were codified in the discretized transverse-momentum position of single photons, once they are sent through an aperture with d slits. We provide an experimental implementation of the method based in a Mach-Zehnder interferometer, which allows one to reduce the number of measurement settings to four since the d slits can be measured simultaneously. Furthermore, it can be adapted to consider the reconstruction of the unknown state from the outcome frequencies of 4d-3 fixed projectors independently of the encoding or the nature of the quantum system, allowing one to implement the reconstruction method in a general experiment. © 2017 American Physical Society.
Registro:
| Documento: | Artículo |
| Título: | Determination of any pure spatial qudits from a minimum number of measurements by phase-stepping interferometry |
| Autor: | Pears Stefano, Q.; Rebón, L.; Ledesma, S.; Iemmi, C. |
| Filiación: | Universidad de Buenos Aires, Facultad de Ciencias Exactas y Naturales, Departamento de Física, Buenos Aires, 1428, Argentina Consejo Nacional de Investigaciones Científicas y Técnicas, Buenos Aires, 1425, Argentina Departamento de Física, IFLP-CONICET, Universidad Nacional de la Plata, C.C. 67, La Plata, 1900, Argentina |
| Palabras clave: | Quantum optics; Quantum theory; 4-D measurements; Arbitrary dimension; Phase shift interferometry; Phase-stepping interferometry; Proof of principles; Quantum state tomography; Reconstruction method; Transverse momenta; Interferometry |
| Año: | 2017 |
| Volumen: | 96 |
| Número: | 6 |
| DOI: | http://dx.doi.org/10.1103/PhysRevA.96.062328 |
| Título revista: | Physical Review A |
| Título revista abreviado: | Phys. Rev. A |
| ISSN: | 24699926 |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_24699926_v96_n6_p_PearsStefano |
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Citas:
---------- APA ----------
Pears Stefano, Q., Rebón, L., Ledesma, S. & Iemmi, C. (2017) . Determination of any pure spatial qudits from a minimum number of measurements by phase-stepping interferometry. Physical Review A, 96(6).http://dx.doi.org/10.1103/PhysRevA.96.062328
---------- CHICAGO ----------
Pears Stefano, Q., Rebón, L., Ledesma, S., Iemmi, C. "Determination of any pure spatial qudits from a minimum number of measurements by phase-stepping interferometry" . Physical Review A 96, no. 6 (2017).http://dx.doi.org/10.1103/PhysRevA.96.062328
---------- MLA ----------
Pears Stefano, Q., Rebón, L., Ledesma, S., Iemmi, C. "Determination of any pure spatial qudits from a minimum number of measurements by phase-stepping interferometry" . Physical Review A, vol. 96, no. 6, 2017.http://dx.doi.org/10.1103/PhysRevA.96.062328
---------- VANCOUVER ----------
Pears Stefano, Q., Rebón, L., Ledesma, S., Iemmi, C. Determination of any pure spatial qudits from a minimum number of measurements by phase-stepping interferometry. Phys. Rev. A. 2017;96(6).http://dx.doi.org/10.1103/PhysRevA.96.062328
